Answer:

Step-by-step explanation:
Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:

In order to calculate the dimensions of the rectangular at
times its current size, you need to multiply the original lenght by
and multiply the original width by
.
Knowing this, you get:

Answer: 6th month
Step-by-step explanation:
Let the month where the plans cost the same be represented by x.
Plan A charges $99 for the phone plus $25 per month. This can be written as:
= 99 + 25x
Plan B charges $39 for a phone and a $35 per month. This can be written as:
= 39 + 35x
We then equate both equations and this will be:
99 + 25x = 39 + 35x
Collect like terms
99 - 39 = 35x - 25x
60 = 10x
x = 60/10
x = 6
The plan will cost the same in the 6th month.
Answer:
Below!
Step-by-step explanation:
To find the volume of a cylinder, you can use this formula : v = πr^2h
r = 12km , h = 7 km
v = π(12km)^2(7)
= 3166.72539
Round to the nearest 10th
= 3166.7 km^3
Hope this helps! Best of luck <3
9.25, right? Because there's 10 numbers, the two middle numbers are 9.3/9.2. so when you add them up you get 18.5, then you divide it by 2 because there were only 2 numbers added, and I got 9.25
Answer:
The length of the shadow is decreasing 8 metres per second.
Step-by-step explanation:
In the attached figure, we draw the situation of the bear approaching the tree.
We can use the Tales to make some calculations.
The proportion between the height of the bear (h) and his shadow (S) is equal to the proportion between the height of the flashlight (H) and the sum of the distance of the bear (d) and the bear shadow.
This can be written as:

If we clear S we have:

We know that the distance is a function of time and it is reduced, as the bear approaches the tree, as a rate of 6 m/s.
We can express then the rate of variation of the shadow S as:

The length of the shadow is decreasing 8 metres per second.